Thomas Beck

most citedUniform upper bounds on Courant sharp Neumann eigenvalues of chain domains

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math.AP2014

The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schrödinger Operators

Thomas Beck

We study the first Dirichlet eigenfunction of a class of Schrödinger operators with a convex potential V on a domain $Ω$ . We find two length scales $L_{1}$ and $L_{2}$ , and an orientat…